A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. The manufacturer has 300 yards of fabric available. To fulfill orders, the number of sofas must be at least twice the number of chairs.

The manufacturer should make 6 chairs and 12 sofas t o complete this order.

This is a system of equation problems. You need to write 2 equations with the variables and solve them.

The equations are:

10c + 20s = 300

s = 2c

We can solve with substitution.

10c + 20 (2c) = 300

10c + 40c = 300

50c = 300

c = 6

If there are 6 chairs, then there must be 12 sofas.